72060013 has 2 divisors, whose sum is σ = 72060014. Its totient is φ = 72060012.

The previous prime is 72060011. The next prime is 72060029. The reversal of 72060013 is 31006027.

72060013 = 6002² + 6003².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36036009 + 36024004 = 6003^2 + 6002^2 .

It is a cyclic number.

It is not a de Polignac number, because 72060013 - 2¹ = 72060011 is a prime.

Together with 72060011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72060011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36030006 + 36030007.

It is an arithmetic number, because the mean of its divisors is an integer number (36030007).

Almost surely, 2^72060013 is an apocalyptic number.

72060013 is the 6003-rd centered square number.

It is an amenable number.

72060013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72060013 is an equidigital number, since it uses as much as digits as its factorization.

72060013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 72060013 is about 8488.8169375950. The cubic root of 72060013 is about 416.1323177617.

The spelling of 72060013 in words is "seventy-two million, sixty thousand, thirteen".